What is the asymptotes of f(x)=(x^2+3x)/(x^2+x-6) ?

The asymptotes of f(x)=(x^2+3x)/(x^2+x-6) is Vertical: x=2,Horizontal: y=1

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asymptotes of f(x)=(x^2+3x)/(x^2+x-6)

asymptotes

f (x) = \frac{x ^{2} + 3 x}{x ^{2} + x - 6}

Vertical : x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3 x}{x ^{2} + x - 6} : x = 2

Horizontal Asymptotes of

\frac{x ^{2} + 3 x}{x ^{2} + x - 6} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 3 x}{x ^{2} + x - 6} :

None

Vertical : x = 2, Horizontal : y = 1

(4, 0), (20, 25)

\frac{2 x + 2}{x ^{2} - 7 x - 8}

F (x) = \frac{x - 1}{3 + 2 x}

\frac{6}{11} (x^{2} - 9)^{\frac{2}{3}}

- \frac{1}{3} cos (3 x)

What is the asymptotes of f(x)=(x^2+3x)/(x^2+x-6) ?
The asymptotes of f(x)=(x^2+3x)/(x^2+x-6) is Vertical: x=2,Horizontal: y=1